370742400 has 384 divisors, whose sum is σ = 1553174400. Its totient is φ = 84602880.

The previous prime is 370742389. The next prime is 370742401. The reversal of 370742400 is 4247073.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (370742401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604494 + ... + 605106.

It is an arithmetic number, because the mean of its divisors is an integer number (4044725).

Almost surely, 2^370742400 is an apocalyptic number.

370742400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776587200).

370742400 is an abundant number, since it is smaller than the sum of its proper divisors (1182432000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

370742400 is a wasteful number, since it uses less digits than its factorization.

370742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 370742400 is about 19254.6721602836. The cubic root of 370742400 is about 718.3852702737.

Adding to 370742400 its reverse (4247073), we get a palindrome (374989473).

The spelling of 370742400 in words is "three hundred seventy million, seven hundred forty-two thousand, four hundred".